D. Lee and S. Seung, Learning the parts of objects by nonnegative matrix factorization, Nature, vol.401, issue.6755, pp.788-791, 1999.

P. Smaragdis and J. Brown, Non-negative matrix factorization for polyphonic music transcription, 2003 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE Cat. No.03TH8684), pp.177-180, 2003.
DOI : 10.1109/ASPAA.2003.1285860

A. Cichocki, R. Zdunek, A. H. Phan, and S. Amari, Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation, 2009.
DOI : 10.1002/9780470747278

C. Févotte and J. Idier, Algorithms for Nonnegative Matrix Factorization with the ??-Divergence, Neural Computation, vol.11, issue.9, pp.2421-2456, 2011.
DOI : 10.1109/TASL.2009.2034186

D. Kong, C. Ding, and H. Huang, Robust nonnegative matrix factorization using L21-norm, Proceedings of the 20th ACM international conference on Information and knowledge management, CIKM '11, pp.673-682, 2011.
DOI : 10.1145/2063576.2063676

N. Dobigeon and C. Févotte, Robust nonnegative matrix factorization for nonlinear unmixing of hyperspectral images, Proc. IEEE GRSS Workshop Hyperspectral Image Signal Processing: Evolution in Remote Sensing (WHISPERS), 2013.
URL : https://hal.archives-ouvertes.fr/hal-01151017

T. Virtanen, Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria. Audio, Speech, and Language Processing, IEEE Trans. on, vol.15, issue.3, pp.1066-1074, 2007.

N. Bertin, R. Badeau, and E. Vincent, Enforcing harmonicity and smoothness in Bayesian non-negative matrix factorization applied to polyphonic music transcription. Audio, Speech, and Language Processing, IEEE Trans. on, vol.18, issue.3, pp.538-549, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00557088

C. Févotte, Majorization-minimization algorithm for smooth Itakura-Saito nonnegative matrix factorization, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1980-1983, 2011.
DOI : 10.1109/ICASSP.2011.5946898

A. Lefevre, F. Bach, and C. Févotte, Itakura-Saito nonnegative matrix factorization with group sparsity, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.21-24, 2011.
DOI : 10.1109/ICASSP.2011.5946318
URL : https://hal.archives-ouvertes.fr/hal-00567344

C. Joder, F. Weninger, D. Virette, and B. Schuller, A comparative study on sparsity penalties for NMF-based speech separation: Beyond LP-norms, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.858-862, 2013.
DOI : 10.1109/ICASSP.2013.6637770

T. Virtanen, A. T. Cemgil, and S. Godsill, Bayesian extensions to non-negative matrix factorisation for audio signal modelling, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.1825-1828, 2008.
DOI : 10.1109/ICASSP.2008.4517987

C. Févotte, N. Bertin, and J. Durrieu, Nonnegative Matrix Factorization with the Itakura-Saito Divergence: With Application to Music Analysis, Neural Computation, vol.14, issue.3, pp.793-830, 2009.
DOI : 10.1016/j.sigpro.2007.01.024

C. Févotte and A. Ozerov, Notes on Nonnegative Tensor Factorization of the Spectrogram for Audio Source Separation: Statistical Insights and Towards Self-Clustering of the Spatial Cues, Proc. 7th International Symposium on Computer Music Modeling and Retrieval (CMMR), pp.102-115, 2010.
DOI : 10.1007/978-3-642-23126-1_8

M. N. Schmidt and H. Laurberg, Non-negative matrix factorization with Gaussian process priors, Computational Intelligence and Neuroscience, 2008.
DOI : 10.1155/2008/361705
URL : http://doi.org/10.1155/2008/361705

A. Ozerov, E. Vincent, and F. Bimbot, A general flexible framework for the handling of prior information in audio source separation. Audio, Speech, and Language Processing Cemgil. Unsupervised single-channel source separation using Bayesian NMF, Applications of Signal Processing to Audio and Acoustics WASPAA'09. IEEE Workshop on, pp.93-96, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00536917

U. Simsekli and A. T. , Markov Chain Monte Carlo inference for probabilistic latent tensor factorization, 2012 IEEE International Workshop on Machine Learning for Signal Processing, pp.1-6, 2012.
DOI : 10.1109/MLSP.2012.6349799

P. Smaragdis, C. Févotte, G. J. Mysore, N. Mohammadiha, and M. Hoffman, Static and Dynamic Source Separation Using Nonnegative Factorizations: A unified view, IEEE Signal Processing Magazine, vol.31, issue.3, pp.3166-75, 2014.
DOI : 10.1109/MSP.2013.2297715

G. Arce, Nonlinear signal processing: a statistical approach, 2005.
DOI : 10.1002/0471691852

G. Samoradnitsky and M. Taqqu, Stable non-Gaussian random processes: stochastic models with infinite variance, 1994.

E. Candès, X. Li, Y. Ma, and J. Wright, Robust principal component analysis?, Journal of the ACM, vol.58, issue.3, p.11, 2011.
DOI : 10.1145/1970392.1970395

A. Liutkus and R. Badeau, Generalized Wiener filtering with fractional power spectrograms, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015.
DOI : 10.1109/ICASSP.2015.7177973
URL : https://hal.archives-ouvertes.fr/hal-01110028

C. E. Rasmussen and C. K. Williams, Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning), 2005.

A. Liutkus, R. Badeau, and G. Richard, Gaussian Processes for Underdetermined Source Separation, IEEE Transactions on Signal Processing, vol.59, issue.7, pp.3155-3167, 2011.
DOI : 10.1109/TSP.2011.2119315
URL : https://hal.archives-ouvertes.fr/hal-00643951

P. Kidmose, Blind separation of heavy tail signals, 2001.

P. Georgiou, P. Tsakalides, and C. Kyriakakis, Alpha-stable modeling of noise and robust time-delay estimation in the presence of impulsive noise, IEEE Transactions on Multimedia, vol.1, issue.3, pp.291-301, 1999.
DOI : 10.1109/6046.784467

G. Samoradnitsky and M. Taqqu, Stable non-Gaussian random processes: stochastic models with infinite variance, 1994.

G. A. Tsihrintzis, P. Tsakalides, and C. L. Nikias, Spectral methods for stationary harmonizable alpha-stable processes, European signal processing conference (EUSIPCO), pp.1833-1836, 1998.

A. T. Cemgil, P. Peeling, O. Dikmen, and S. Godsill, Prior Structures for Time-Frequency Energy Distributions, 2007 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, pp.151-154, 2007.
DOI : 10.1109/ASPAA.2007.4393007

N. Q. Duong, E. Vincent, and R. Gribonval, Underdetermined reverberant audio source separation using a fullrank spatial covariance model. Audio, Speech, and Language Processing, IEEE Trans. on, vol.18, issue.7, pp.1830-1840, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00435807

C. Févotte and J. Idier, Algorithms for Nonnegative Matrix Factorization with the ??-Divergence, Neural Computation, vol.11, issue.9, pp.2421-2456, 2011.
DOI : 10.1109/TASL.2009.2034186

D. Fitzgerald, M. Cranitch, and E. Coyle, Extended Nonnegative Tensor Factorisation Models for Musical Sound Source Separation, Computational Intelligence and Neuroscience, vol.2008, 2008.
DOI : 10.1109/TSA.2005.858005

T. Barker and T. Virtanen, Non-negative tensor factorisation of modulation spectrograms for monaural sound source separation, Proceedings of Interspeech, 2013.

E. Vincent, R. Gribonval, and C. Févotte, Performance measurement in blind audio source separation, IEEE Transactions on Audio, Speech and Language Processing, vol.14, issue.4, pp.1462-1469, 2006.
DOI : 10.1109/TSA.2005.858005
URL : https://hal.archives-ouvertes.fr/inria-00544230